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I have no clue how to graph inequalities and find the solution

I have no clue how to graph inequalities and find the solution-example-1
User Junxuan Ng
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1 Answer

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13 votes

In the graph we can see two line y=2 and y=x.

Also, we know that there is a system of inequalities and the blue area in the graph represent the solutions for the system.

We can see that the blue area is above the line y=2, thats mean one inequality is:


y\ge2

So, any points that y-coordinate is greater than or equal than 2 satisfy the inequality.

Also we can see that the blue area is bellow the line y=x and the line is a dotted line, this last means the inequality do not take take value in the line. So, the second inequation is:

[tex]ySo, the points that satisfy the system of inequalities are above the line y=2 and bellow the line y=x and not touch the line y=x.
User Pfeds
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